From kinetic models to hydrodynamics : some novel results
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The work From kinetic models to hydrodynamics : some novel results represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
From kinetic models to hydrodynamics : some novel results
Resource Information
The work From kinetic models to hydrodynamics : some novel results represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 From kinetic models to hydrodynamics : some novel results
 Title remainder
 some novel results
 Statement of responsibility
 Matteo Colangeli
 Subject

 Dynamics
 Dynamics
 Hydrodynamics  Mathematical models
 Hydrodynamics  Mathematical models
 Hydrodynamics  Mathematical models
 Mathematical Applications in the Physical Sciences.
 Mathematical Methods in Physics.
 Mathematical Modeling and Industrial Mathematics.
 Mathematical physics.
 Mathematics.
 SCIENCE  Mechanics  Hydrodynamics
 Statistical Physics, Dynamical Systems and Complexity.
 Theoretical, Mathematical and Computational Physics.
 Dynamics
 Language
 eng
 Summary
 From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary to obtain hydrodynamic equations from a fundamental description using kinetic theory models and the Boltzmann equation. The work is a survey of an active research area, which aims to bridge time and length scales from the particlelike description inherent in Boltzmann equation theory to a fully established "continuum" approach typical of macroscopic laws of physics. The author sheds light on a new method  using invariant manifolds  which addresses a functional equation for the nonequilibrium singleparticle distribution function. This method allows one to find exact and thermodynamically consistent expressions for: hydrodynamic modes; transport coefficient expressions for hydrodynamic modes; and transport coefficients of a fluid beyond the traditional hydrodynamic limit. The invariant manifold method paves the way to establish a needed bridge between Boltzmann equation theory and a particlebased theory of hydrodynamics. Finally, the author explores the ambitious and longstanding task of obtaining hydrodynamic constitutive equations from their kinetic counterparts. The work is intended for specialists in kinetic theory  or more generally statistical mechanics  and will provide a bridge between a physical and mathematical approach to solve realworld problems
 Cataloging source
 GW5XE
 Dewey number
 532/.50015118
 Illustrations
 illustrations
 Index
 no index present
 Language note
 English
 LC call number
 QA911
 LC item number
 .C65 2013
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 SpringerBriefs in mathematics,
Context
Context of From kinetic models to hydrodynamics : some novel resultsWork of
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